This IB Maths AI HL AHL 5.10 – The Second Derivative notes resource develops clear, structured understanding of concavity and the second derivative test.
Students learn how to differentiate functions twice, interpret the meaning of ( f’’(x) ), and use its sign to determine whether a stationary point is a local maximum, local minimum, or neither. The notes carefully guide learners through solving ( f’(x)=0 ), evaluating ( f’’(x) ), and applying the full second derivative test with algebraic accuracy and correct mathematical language .
Designed for HL students, this resource builds strong conceptual understanding of concavity, inflection points, and classification of stationary points, essential Higher Level exam skills in calculus analysis and optimisation.
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